Just as Glen Johnson put the ball into his own net for City’s equaliser and cancel out first-half goals from Raheem Sterling and Martin Skrtel, Sturridge went down holding his hamstring.
He was promptly replaced by Joe Allen and spent the last 24 minutes of the game in the medical room.
“We’ll see [how he is] over the next couple of days,” Rodgers is quoted by the club’s official website as saying after the game.
“He felt a wee bit of tightness in his hamstring, so we’ll see how that is in the next couple of days.”
Liverpool will be hopeful Sturridge recovers in time for Sunday’s Premier League clash at Norwich City.
Since signing for Liverpool from Chelsea in January 2013, the England international has scored 34 goals in 46 games, including 30 goals this season alone.
The Reds will be without midfielder Jordan Henderson after the 23-year-old was sent off for a two-footed challenge on City’s Samir Nasri in the dying seconds of the game.
Could Liverpool cope without both Sturridge and Henderson? Let us know your thoughts in the comments below or on Twitter @thisisanfield.